# Description of Osmotic Dehydration of Banana Slices Dipped in Solution of Water and Sucrose Followed by Complementary Drying Using Hot Air

• A. F. da Silva Júnior
• W. Pereira da Silva
• V. S. de Oliveira Farias
• C. M. D. P. da Silva e Silva
• Antonio Gilson Barbosa de Lima
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 93)

## Abstract

This chapter presents four mathematical approaches to describe processes of osmotic dehydration and complementary drying of agricultural products with cylindrical geometry. For this, four solutions for diffusion equation (in cylindrical coordinates) were proposed, two analytical solutions and two numerical solutions. All the formalism necessary to obtain these four solutions were presented. The most suitable models to describe the osmotic pretreatment and the complementary drying were determined using data of the osmotic dehydration of banana in solutions with 40 °Brix of sucrose and at temperature of 40 °C and data of the complementary drying at 40 °C. Programs developed in the FORTRAN language were used for optimization processes. Finally, the results obtained for the four models in the optimization processes were compared in order to obtain the best model.

## Keywords

Diffusion equation Numerical solution Analytical solution Mass transfer Finite-volume

## Notes

### Acknowledgements

The authors would like to thank CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brazil) for the support given to this research and for his research grant (Processes Number 302480/2015-3 and 444053/2014-0).

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© Springer International Publishing AG 2018

## Authors and Affiliations

• A. F. da Silva Júnior
• 1
• W. Pereira da Silva
• 2
• V. S. de Oliveira Farias
• 1
• C. M. D. P. da Silva e Silva
• 2
• Antonio Gilson Barbosa de Lima
• 3
1. 1.Physics and Mathematics DepartmentFederal University of Campina GrandeCuitéBrazil
2. 2.Physics DepartmentFederal University of Campina GrandeCampina GrandeBrazil
3. 3.Department of Mechanical EngineeringFederal University of Campina GrandeCampina GrandeBrazil